Eigenvalue estimate for the Laplace operator on Finsler manifold with weighted Ricci curvature

Articles in Press

Document Type : Original Article

Authors

1 Department of pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.

2 Department of pure mathematics, Faculty of sciences, Imam Khomeini International University, Qazvin, Iran.

Abstract

In this paper, we study about the rst eigenvalue of the bi-Laplace operator on Finsler manifolds. Considering a bounded weighted Ricci curvature on a complete Finsler manifold, we obtain an upper bound for the first eigenvalues of Buckling and Clamped plate problems related with the first eigenvalue of the laplace operator.

Keywords

References

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Journal of Finsler Geometry and its Applications

Articles in Press, Accepted Manuscript
Available Online from 04 February 2025

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